Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 4p^2 & -9p & 11 \\ \color{blue}{ + } & p^2 & -5p & 4 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 4p^2 & -9p & 11 \\ \color{blue}{ + } & p^2 & -5p & 4 \\ \hline & 5p^2 & -14p & 15 \end{array} $$